What is the Least Common Multiple of 62868 and 62883?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 62868 and 62883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62868 and 62883, than apply into the LCM equation.

GCF(62868,62883) = 3
LCM(62868,62883) = ( 62868 × 62883) / 3
LCM(62868,62883) = 3953328444 / 3
LCM(62868,62883) = 1317776148

Least Common Multiple (LCM) of 62868 and 62883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62868 and 62883. First we will calculate the prime factors of 62868 and 62883.

Prime Factorization of 62868

Prime Factorization of 62883

Now multiplying the highest exponent prime factors to calculate the LCM of 62868 and 62883.

LCM(62868,62883) = 2² × 3³ × 13² × 31¹ × 17¹ × 137¹
LCM(62868,62883) = 1317776148